非负矩阵Perron根界的估计式的改进  

Improving Estimation for Perron Root Bound of Nonnegative Matrices

作　　者：蔡占通[1] 段艳辉[2] 

机构地区：[1]云南大学数学与统计学院 [2]邯郸学院数学系

出　　处：《重庆工商大学学报（自然科学版）》2012年第4期11-16,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10961027)

摘　　要：矩阵的谱半径在特征值估计理论、广义逆矩阵、数值分析以及矩阵序列、矩阵级数的收敛分析、控制理论中都有着极为重要的作用,近年来许多学者都致力于这方面的研究,提出了许多改进的谱半径估计方法,利用Perron补矩阵进行谱半径估计也一直受到广大学者的重视.通过研究矩阵的广义Perron补的性质,给出非负矩阵Perron根界的几个新的估计式。Spectral radius of matrix plays an extremely important role in characteristic value estimation theory, generalized inverse matrix, numerical analysis, matrix sequence, matrix series convergence analysis and control theory, so that in recent years,many scholars are committed to conduct research in this area and put forward a number of improved spectral radius estimation methods. It is widely valued by a great many of scholars to use generalized Perron complement matrix to estimate spectral radius. By studying the properties of generalized Perron complement, this paper gives several new estimation expressions of Perron root bound.

关 键 词：非负矩阵 广义Perron补 不可约性 PERRON根 

分 类 号：O151.21[理学—数学]